Paired-sample sign test: check 1
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 13 independent paired differences contain 12 positive and 1 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the expected positive count under H₀.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Paired-sample sign test: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 14 independent paired differences contain 12 positive and 2 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the expected positive count under H₀.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Paired-sample sign test: check 2
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 14 independent paired differences contain 12 positive and 2 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the exact one-sided p-value.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Paired-sample sign test: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 8 independent paired differences contain 5 positive and 3 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the exact one-sided p-value.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Paired-sample sign test: check 3
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 8 independent paired differences contain 5 positive and 3 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the exact two-sided p-value using twice the smaller tail, capped at one.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Paired-sample sign test: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 9 independent paired differences contain 8 positive and 1 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the exact two-sided p-value using twice the smaller tail, capped at one.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Paired-sample sign test: check 4
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 9 independent paired differences contain 8 positive and 1 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
If three exact zero differences had also been recorded, find the original number of pairs.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Paired-sample sign test: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
After removing zero differences, 10 independent paired differences contain 8 positive and 2 negative values. The alternative is a positive population median difference.
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
If three exact zero differences had also been recorded, find the original number of pairs.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.